Using your definition of solved:
Quote:
A solved game is a game whose outcome can be correctly predicted from any position when each side plays optimally.
And additionally, from the page you link:
Quote:
In game theory, perfect play is the behavior or strategy of a player which leads to the best possible outcome for that player regardless of the response by the opponent. Based on the rules of a game, every possible final position can be evaluated (as a win, loss or draw).
So if we discover an unexploitable strategy, i.e. perfect play, then we have a game whose "outcome can be correctly predicted from any position when each side plays optimally." That outcome, of course, is a draw (in a no rake game) when both players employ this strategy. Otherwise, it's a win for the player using the NE strategy and a loss for a player using any strategy other than NE.